Answer:
216 m
Step-by-step explanation:
12/4= x/6
3=x/6
x=3x6
length= 18
area=length x width
12x18=216
A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).
Answer:
B
Step-by-step explanation:
To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.
So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.
Simplify the expression: 4(–1 − 6n)
1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
NASA’s research center has seven crates of hard-shell space suits. Each crate has two suits. If three suits crack during pressure testing, how many suits are left that are NOT cracked?
(100+?)/100=10
How do I work this out?
Answer:
? = 900
Step-by-step explanation:
lets change ? to x
(100 + x) / 100 = 10
we will substitute /100
(100 + x) /100 · 100 = 10 · 100
100 + x = 1000
we substitute +100
100 + x -100 = 1000 - 100
x = 900
hope this helps =D happy learning!!
decide whether you can use the given information to prove that $\triangle abc\cong\triangle def$ . explain your reasoning. $\angle c\cong\angle f,\ \overline{ab}\cong\overline{de},\ \overline{bc}\cong\overline{ef}$
According to SAS congruent the △abc congruent △def. Thus using the given information, it can be prove.
What is congruent?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
There are four rules to prove congruency. They are SAS, AA, ASA, and SSS.
Given that ∠c ≅ ∠f
ab ≅ de
bc ≅ ef.
According to SAS rule, if two sides and one angle of a triangle is equal to two sides and one angle of another triangle, they the triangle are congruent.
Here two sides and one angle of △abc is congruent of two sides and one angle of △def.
Therefore △abc congruent △def.
To learn more about congruency, click on below link:
https://brainly.com/question/20333087
#SPJ4
9t+6
in standard form. asap!
The equation -6 = 0 is not true, which means that there is no solution to the equation 9t+6 in standard form. This is because we cannot write the equation in the form \(ax + by = c\) , since there is no value of c that would satisfy the equation.
What is the expression to have the variables?To write 9t+6 in standard form, we need to rearrange the expression to have the variables first, followed by the constant term. The standard form of a linear equation is:
\(ax + by = c\)
where a, b, and c are constants, and x and y are variables.
To rearrange 9t+6, we first need to group the t term and the constant term together. We can do this by adding 0t to the expression:
\(9t + 0t + 6\)
Now, we can rearrange the terms so that the variable term comes first:
\(9t + 0t = 9t\)
Finally, we can write the expression in the standard form:
\(9t + 0t = 9t + 6\)
This can be simplified further by removing the 0t term:
\(9t = 9t + 6\)
We can now move the constant term to the other side of the equation by subtracting 6 from both sides:
\(9t - 6 = 9t + 6 - 6\)
\(9t - 6 = 9t\)
\(-6 = 0\)
Therefore, The equation \(-6 = 0\) is not true, which means that there is no solution to the equation \(9t+6\) in standard form. This is because we cannot write the equation in the form \(ax + by = c\) , since there is no value of c that would satisfy the equation.
Learn more about variables here:
https://brainly.com/question/15740935
#SPJ1
The original price of a scarf was $25. During a store-closing sale, a shopper saved $15 on the scarf. 1. What percentage discount did she receive? Type the answer in the box below. She received a % discount.
Answer:
there was a 60 percent discount on the scarf
Answer:
60%
Step-by-step explanation:
How I did it is I put 15 over 25 and multiplied it by x over 100.
It should look like this
15/25 x x/100
which 15 multiplied by 100 is 1500 and then 1500 divided by 25 is 60
Does this help?
Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
Hdhdbdudndhdbdudbs bdhdhdhdhdbd
Answer:
Dang I forgot how to do that
How many turning points are in the graph of the polynomial function?
A.) 2 turning points
B.) 3 turning points
C.) 4 turning points
D.) 5 turning points
Content attribution
Question
If you deposit $600 into an account which earns 4% yearly interest compounded quarterly,
how much will be in the account after 7 years, assuming you never withdraw money from
the account? Round your answer to the nearest cent if necessary and do not include the
dollar sign.
Provide your answer below:
Answer:
4,368
Step-by-step explanation:
take 600 and add 4% to get 624
then take the 624 and multiply by 7
and the answer is 4,368
let's see what to do buddy...
_________________________________
_________________________________
Step (1)
We have 600 $ .
One year later ;
\(600 + (600) \times \frac{4}{100} = 600 + 24 = 624 \\ \)
Now we have 624 $.
_________________________________
Step (2)
One year later :
\(624 + (624) \times \frac{4}{100} = 624 + 24.96 = \\ 624 + 25 = 649 \)
After two years we have 649 $.
_________________________________
Step (3)
One year later :
\(649 + (649) \times \frac{4}{100} = 649 + 25.96 \\ 649 + 26 = 675 \)
After three years we have 675 $.
_________________________________
Step (4)
One year later :
\(675 + (675) \times \frac{4}{100} = 675 + 27 = 702 \\ \)
So after four years we have 702 $.
_________________________________
Step (5)
One year later :
\(702 + (702) \times \frac{4}{100} = 702 + 28.08 \\ 702 + 28 = 730 \)
After five years we have 730 $.
_________________________________
Step (6)
One year later :
\(730 + (730) \times \frac{4}{100} = 730 + 29.20 \\ 730 + 29 = 759 \)
So After six years we have 759 $.
_________________________________
Step (7)
One year later :
\(759 + (759) \times \frac{4}{100} = 759 + 30.36 \\ 759 + 30 = 789 \)
So after seven years we have 789 $.
_________________________________
There's no any more steps.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
A drawer contains 6 red socks, 5 white socks and 9 blue socks. Without looking, you draw out a sock
and then draw out a second sock without returning the first sock. What is the probability that the
first sock and the second sock are both red?
Answer:
2/20
Step-by-step explanation:
because 9+5+6=20 and if you draw 2 red socks then that would be yur numerator
May someone help with this? Solve using the order of operations.
9/6 - 4(2/3 - 7/6)²
By algebraic handling, the expression 9 / 6 - 4 · (2 / 3 - 7 / 6)² is equivalent to the expression 1 / 2.
How to simplify an algebraic expression that involves power and rational expressions
In this problem we must simplify an expressions involving powers and rational numbers by algebra definitions and theorems:
9 / 6 - 4 · (2 / 3 - 7 / 6)² Given
9 / 6 - 4 · [[(2 · 6) - (3 · 7)] / (3 · 6)]² Subtraction of fractions with different denominators
9 / 6 - 4 · [(12 - 21) / 18]² Definition of multiplication
9 / 6 - 4 · (- 9 / 18)² Definition of subtraction
3 / 2 - 4 · (1 / 2)² Definition of simplification
3 / 2 - 4 · (1 / 4) Power properties
3 / 2 - 1 Definition of division / Existence of multiplicative inverse
3 / 2 - 2 / 2 Definition of division / Existence of multiplicative inverse
1 / 2 Subtraction of fractions with same denominator / Result
To learn more on rational numbers: https://brainly.com/question/17450097
#SPJ1
Several fish were caught and weighed. The first fish wasn't weighed, but the rest had weights: 5.2Ib, 7.3Ib, and 6.4Ib. The average weight was 8.4Ibs. What was the weight of the first fish.
The weight of the first fish is 14. 7Ib
What is the mean?The mean is simply the average or the most common value in a collection of numbers.
The formula for mean is given as;
Mean = sum of terms/number of terms
Given the values;
5.2Ib, 7.3Ib, and 6.4Ib
Let the first fish weigh 'x' Ib
5. 2 + 7. 3 + 6. 4 + x/4 = 8. 4
18. 9 + x/4 = 8. 4
cross multiply
18. 9 + x = 8. 4 × 4
18. 9 + x = 33. 6
collect like terms
x = 33. 6 - 18. 9
x = 14. 7Ib
Thus, the weight of the first fish is 14. 7Ib
Learn more about mean here:
https://brainly.com/question/20118982
#SPJ1
the bar graph below represents the number of each type of animal found in northern Pennsylvania forest by a researcher. If the researcher moved to a larger central Pennsylvania forest with about 1,000 total animals , how many beats should the researcher expect to see?
The number of bears that the researcher should be expected to see in the larger central Pennsylvania forest with about 1,000 total animals is given as follows:
95 bears.
How to obtain the number of bears?To obtain the number of bears in the larger forest, first we must obtain the proportion in the smaller forest.
The proportion is given by the number of bears divided by the total number of animals, both of these amounts given by the bar graph presented at the end of the answer.
The number of bears is given as follows:
20.
The total number of animals is given as follows:
20 + 70 + 30 + 90 = 210.
Meaning that the proportion of bears is of:
20/210.
Hence, out of 1000 animals, the expected number of bears is of>
20/210 x 1000 = 20000/210 = 95 bears.
Missing InformationThe bar graph is given by the image presented at the end of the answer.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
State the transformations of the following function in order: = − 3|6 − 2| + 1
Answer:
6
Step-by-step explanation:
-3 | 6 - 2| + 1
-3 + 6 + 2 + 1
-3 + 9 = 6
What is the recursive rule for this geometric sequence?
27, 9, 3, 1, ...
ANSWER: an= 1/3
a1= 27
Answer: a1/3=a((sub)1/3-1)x1/3
Step-by-step explanation: The recursive rule for geometric sequence should be a(sub)n =a(sub)n-1 times the ratio. Given the sequence your ratio should be 1/3.
Suppose that you have 4 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
The probability that two cards will be drawn at random, without replacement, is 13/18.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
According to our answer-
P(at least 1 green) = 1 - P(no green)
P(no green) = draw yellow on both draws
= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)
= 5/9 * 4/8 = 20/72 = 5/18
P(at least 1 green) = 1 - 5/18
= 13/18
learn more about probability click here:
brainly.com/question/13604758
#SPJ4
Is 0.968 greater than 1.5?
Answer:
No
Step-by-step explanation:
Knowing that 1.5 can also be written as 1.500
Thus, 0.968 < 1.500
Also can say 0.968 is less than 1.500
[RevyBreeze]
b. The sum of two consecutive integers is 109. Determine the integers in 4 steps.
Step 1:
Step 2:
Step 3:
Step 4:
The value of the first and second integers are 54 and 55 respectively.
What are the consecutive integers?Let
First integer = x
Second integer = x + 1
Sum of the integers = 109
So,
First integer + Second integer = Sum of the integers
x + (x + 1) = 109
x + x + 1 = 109
2x + 1 = 109
Subtract 1 from both sides
2x = 109 - 1
2x = 108
divide both sides by 2
x = 108/2
x = 54
Ultimately,
First integer = x
= 54
Second integer = x + 1
= 54 + 1
= 55
Therefore, the solution in 4 steps are;
Step 1: x + (x + 1) = 109
Step 2: 2x + 1 = 109
Step 3: 2x = 108
Step 4: x = 54
Read more on consecutive integers:
https://brainly.com/question/26352026
#SPJ1
I need help please dont report.
The questions are illustrations of probability and the usage of two-way tables
The survey of 1000 Argyle studentTo do this, we make use of the following representations:
x represent owning a cell phone (x' is its complement).y represent owning a PS5 (y' is its complement).So, the given parameters are:
Total = 1000
x = 781
x and y = 133
x' and y' = 192
Using the above data values, we have:
y = Total - x
x and y' = x - x and y
x' and y = y - x' and y'
This gives
y = 1000 - 781 = 219
x and y' = 781 - 133 = 648
x' and y = 219 - 192 = 27
See attachment for the complete table.
The probability of catsProbability that cats prefer flying
This is calculated as:
P = Flying/Total
So, we have:
P = 20/100 = 1/5
Probability that a selected cat is an alley cat
This is calculated as:
P = Alley Cat/Total
So, we have:
P = 41/100
Probability that a selected alley cat prefers invisibility
This is calculated as:
P = Alley Cat and Invisible/Alley Cat
So, we have:
P = 21/41
Probability that a selected home cat prefers invisibility
This is calculated as:
P = Home Cat and Invisible/Home Cat
So, we have:
P = 22/59
Ice cream flavorsProbability of Peanut Butter Crunch
The given parameters are:
Peanut Butter Crunch = 1
Flavors = 52
This probability is then calculated as:
P = Peanut Butter Crunch/Total
So, we have:
P = 1/52
Theoretical probability of Cotton Candy
In this case, we have:
Cotton Candy = 1
Flavors = 5
This probability is then calculated as:
P = Cotton Candy/Flavors
So, we have:
P = 1/5
Experimental probability of Mango
In this case, we use the table results i.e.
Mango = 1
Friends = 15
This probability is then calculated as:
P = Mango/Friends
So, we have:
P = 1/15
Hence, the experimental probability of Mango is 1/15
Read more about probability at:
https://brainly.com/question/25870256
#SPJ1
hi how are you , attached document not sure if my choice its correct
1) To find the mean of this data set, we need to add them up and divide it by the number of data points.
2) So let's write them down:
12, 17,16,10,20,13,14,14,12,12,19,18
\(\begin{gathered} \bar{x}=\frac{12+17+16+10+20+13+14+14+12+12+19+18}{12} \\ \bar{x}=14.75 \end{gathered}\)And that is the answer.
i had it wrong it said A&C
Answer:ez
Step-by-step explanation:
50 Points! Multiple choice algebra graphing question. Which square root function is represented by the graph? Photo attached. Thank you!
A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).
What is a square root function?In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.Therefore, the required square root function is given by;
f(x) = √(4x + 8)
Read more on translation here: brainly.com/question/4521517
#SPJ1
HELP PLEASE this is urgent
Answer:
10.5 cm
Step-by-step explanation:
YZ corresponds to TU
YZ:TU = 9:3 = 3:1
XY corresponds to ST
ST = 3.5 cm
XY:ST = 3:1
XY/ST = 3/1
XY/3.5 cm = 3
XY = 10.5 cm
Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
For such more questions on Credit Card Payoff
https://brainly.com/question/26867415
#SPJ8
Draw lines to separate the trapezoid into a rectangle and two identical triangles. What are their dimensions?
Answer:
Step-by-step explanation:
Solve the equation 3x-6=3(x-2)
Answer:
0=0
Step-by-step explanation:
both sides are true for the equation
Answer:
your question is wrong
because the x end up cancelling each other
Find the direction cosines and direction angles of the vector.(Give the direction angles correct to the nearest degree.)
‹2, -4, -2›
I know how to find the direction angels of the vectos. Soplease help me with the direction cosines of the vector.
The direction cosines and direction angles of the vectors will be x/r , y/r , z/r and cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r ) respectively.
The cosines of the angles that a given vector, m = xi + yj + zk, makes well with the x, y, and z axes are the direction cosines of that vector.
If a forms the direction angles (which are cosines) with the x, y, and z axes, then the direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively.
Let the equation be = xi + yj + zk
vector of the equation will be = (x, y, z)
r = length of vector = √(x²+y²+z²)
The direction cosines will be x/r , y/r , z/r
angles will be cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )
Direction cosines will be -x/r , y/r , z/r
Angles will be -
cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )
Consider the dimensional point P. We can derive direction cosines by computing the cosine of any positive (anticlockwise) angles that a position vector makes with the positive x, y, and z-axes, respectively.
These angles are referred to as direction angles. By using direction cosines, it is easy to translate a vector's direction into angles with regard to a reference.
To learn more about direction cosines visit :
brainly.com/question/17330233
#SPJ4